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  • Book
  • © 2008

Information Geometry

Near Randomness and Near Independence

Part of the book series: Lecture Notes in Mathematics (LNM)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-X
  2. Information Geometry

    Pages 31-54
  3. Amino Acid Clustering

    • A. J. Doig
    Pages 139-151
  4. Stochastic Fibre Networks

    • W. W. Sampson
    Pages 161-194
  5. Stochastic Porous Media and Hydrology

    • J. Scharcanski, S. Felipussi
    Pages 195-222
  6. Quantum Chaology

    Pages 223-233
  7. Back Matter

    Pages 235-253

About this book

This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptology studies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematical statistics, differential geometry and the information geometry of spaces of probability density functions.

Keywords

  • Clustering
  • Riemannian geometry
  • STATISTICA
  • Signal
  • communication
  • differential geometry
  • hydrology
  • information theory
  • mathematical statistics

Authors and Affiliations

  • Mathematics Department, Al-Fateh University, Tripoli, Libya

    Khadiga A. Arwini

  • School of Mathematics, University of Manchester, Manchester, UK

    Christopher T. J. Dodson

Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions